98955763200 has 1080 divisors, whose sum is σ = 420520976304. Its totient is φ = 21764505600.

The previous prime is 98955763189. The next prime is 98955763253. The reversal of 98955763200 is 236755989.

98955763200 is a `hidden beast` number, since 9 + 8 + 9 + 557 + 63 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1355558364 + ... + 1355558436.

Almost surely, 2^98955763200 is an apocalyptic number.

98955763200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98955763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210260488152).

98955763200 is an abundant number, since it is smaller than the sum of its proper divisors (321565213104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98955763200 is a wasteful number, since it uses less digits than its factorization.

98955763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 98955763200 in words is "ninety-eight billion, nine hundred fifty-five million, seven hundred sixty-three thousand, two hundred".